Q: What are the factor combinations of the number 201,275?

 A:
Positive:   1 x 2012755 x 4025525 x 805183 x 242597 x 2075415 x 485
Negative: -1 x -201275-5 x -40255-25 x -8051-83 x -2425-97 x -2075-415 x -485


How do I find the factor combinations of the number 201,275?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 201,275, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 201,275
-1 -201,275

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,275.

Example:
1 x 201,275 = 201,275
and
-1 x -201,275 = 201,275
Notice both answers equal 201,275

With that explanation out of the way, let's continue. Next, we take the number 201,275 and divide it by 2:

201,275 ÷ 2 = 100,637.5

If the quotient is a whole number, then 2 and 100,637.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 201,275
-1 -201,275

Now, we try dividing 201,275 by 3:

201,275 ÷ 3 = 67,091.6667

If the quotient is a whole number, then 3 and 67,091.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 201,275
-1 -201,275

Let's try dividing by 4:

201,275 ÷ 4 = 50,318.75

If the quotient is a whole number, then 4 and 50,318.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 201,275
-1 201,275
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

152583974154852,0752,4258,05140,255201,275
-1-5-25-83-97-415-485-2,075-2,425-8,051-40,255-201,275

More Examples

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